We present a method for the computation of the renormalized group beta-functions and the central charge in two-dimensional supersymmetric sigma models in a gravitational background. The two-loops results are exhibited. We use the Pauli-Villars regularization which preserves supersymmetry and permits an unambiguous treatment of the model with torsion. The central charge we derive for a general manifold is in agreement with expression found on group manifolds.
Beta functions and central charge of supersymmetric sigma models with torsion
GUADAGNINI, ENORE;
1987-01-01
Abstract
We present a method for the computation of the renormalized group beta-functions and the central charge in two-dimensional supersymmetric sigma models in a gravitational background. The two-loops results are exhibited. We use the Pauli-Villars regularization which preserves supersymmetry and permits an unambiguous treatment of the model with torsion. The central charge we derive for a general manifold is in agreement with expression found on group manifolds.File in questo prodotto:
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